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Finding the Third Proportional to 130,840 and 291,284

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Solution

The third proportional to 130,840 and 291,284 is: 648,474.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,840 : 291,284 = 291,284 : x
  2. Step 2: Convert to fraction form
    130,840/291,284 = 291,284/x
  3. Step 3: Cross multiply
    130,840x = 291,284 × 291,284
  4. Step 4: Simplify right side
    130,840x = 84,846,368,656
  5. Step 5: Solve for x
    x = 84,846,368,656/130,840
  6. Step 6: Final answer
    x = 648,474.23

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.